{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ibmqfactory.load_account:WARNING:2020-09-11 00:47:40,653: Credentials are already in use. The existing account in the session will be replaced.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "# Importing standard Qiskit libraries and configuring account\n",
    "from qiskit import QuantumCircuit, execute, Aer, IBMQ\n",
    "from qiskit.compiler import transpile, assemble\n",
    "from qiskit.tools.jupyter import *\n",
    "from qiskit.visualization import *\n",
    "# Loading your IBM Q account(s)\n",
    "provider = IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 6 - Understanding Quantum Gates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Will execute the circuit on the state vector (sv) simulator\n",
    "# Returns state vector results, circuit diagram, and QSphere \n",
    "def execute_circuit_sv(quantum_circuit):\n",
    "    #Create a state vector simulator\n",
    "    statevector_simulator = Aer.get_backend('statevector_simulator')\n",
    "    #Execute the circuit on the simulator\n",
    "    result = execute(quantum_circuit, statevector_simulator).result()\n",
    "    #Assign state vector results\n",
    "    statevector_results  = result.get_statevector(quantum_circuit)\n",
    "    #Draw the circuit diagram\n",
    "    circuit_diagram = quantum_circuit.draw()\n",
    "    #Draw the Qsphere \n",
    "    q_sphere = plot_state_qsphere(statevector_results)\n",
    "    #Return the results, circuit diagram, and QSphere\t\t\n",
    "    return statevector_results, circuit_diagram, q_sphere\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [],
   "source": [
    "#X-gate \n",
    "#Create the single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add an X gate to the qubit\n",
    "qc.x(0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.+0.j, 1.+0.j])"
      ]
     },
     "execution_count": 183,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 187.706x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 184,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 185,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 186,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Y-gate \n",
    "#Create the single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add a Y gate to the qubit\n",
    "qc.y(0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.-0.j, 0.+1.j])"
      ]
     },
     "execution_count": 187,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 187.706x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 188,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [],
   "source": [
    "#H-gate \n",
    "#Create the single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add an H gate to the qubit\n",
    "qc.h(0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.70710678+0.j, 0.70710678+0.j])"
      ]
     },
     "execution_count": 191,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 187.706x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 192,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 193,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 194,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Z-gate \n",
    "#Create the single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add an H gate to the qubit to set the qubit in superposition\n",
    "qc.h(0)\n",
    "#Add a Z gate to the qubit to rotate out of phase by /2\n",
    "qc.z(0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 195,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.70710678+0.j, -0.70710678+0.j])"
      ]
     },
     "execution_count": 195,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 196,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMkAAABOCAYAAACKczJlAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/d3fzzAAAACXBIWXMAAAsTAAALEwEAmpwYAAAD2klEQVR4nO3bQWibdRjH8d+b5DJKYfFgSwdLQaqsduwSNghiI8ZLLtPkLJ49RIVALc42pWphat1hN089iCDaFD2Ugh7SpRaUiBRFcFVolUGRYYQ2tLRNXw/CoGvlyZulfd+k3w+8l//L2/e5fHn/6Zs4ruu6AvC/Qn4PAAQdkQAGIgEMRAIYiAQwEAlgIBLAQCSAgUgAA5EABiIBDEQCGIgEMBAJYCASwEAkgIFIAAORAAYiAQxEAhiIBDAQCWAgEsBAJICBSAADkQAGIgEMEb8H6CTFinSv6s+9L0SlTLy5a/O//qKVzc3WDtSAK93dmn5q8NTv6xWRtNC9qvT7X35P4d3K5qbuVP/2e4zAYrsFGIgEMBAJYCASwEAkgIFIAAORAAYiAQy8TPTRF+8mdXEopasvvt3QehAc/PSz6jfGj56o16W9PYWn31fo8tDpD3aCAhnJ3NycxsbGtLq6qlgsppGRES0tLalUKmltbc3v8c600OUhhb4qHlpzd3dVz49I58/LeTr4XzPxKnCRLCwsKJvNKpVKaWpqSrVaTYVCQdvb2wqHw36Ph2PUp2/J3d1V5K035YQ6bwcfuEjGx8fV39+v+fl5RSL/jZdIJDQwMKC+vj6fp8PD6p98KvfHFUVu35Jz7pzf45yIQEVSq9VUqVSUz+cfBCJJsVhMiUSiI7da33/5nn6Y//DQ2t7Oli4OpXyaqHEHd8o6+OxzhW9Oyenp8XucExOoZ2O1WpXruurt7T1y7ri1R+E4TsuPxcWS5zmuXr+hVz/+59DR9+Qznv/O4mKp6blLJe9zH9y9q/oHHyn8xmsKDV7yfL0klUrNz9yKo1GBiiQajcpxHG1sbBw5d9wa/OHev6964R2Fsi8p9Pxzfo9z4gIVSVdXl+LxuGZnZ7W/v/9gfX19XcvLyy29l+u6LT+Gh5MtndGL4eFk03Mnk43P7e7sqF6YlDN4SaFXXn6kmZPJ5mduxdGoQH0mkaTJyUml02ml02nlcjltbW1pYmJCPR28520n7tK3cld/k/74U/vXs0fOh1/PddzTxXG9JHVKisXiofcko6OjKpfLgX9Pcvtr/36Z+MTjUu6F5q5NVb7z5ZeJz0Yf0zfxa6d+X68C9ySRpEwmo0wmc2itXC77NA3OukB9JgGCiEgAQyC3W8eZmZnxewScUTxJAAORAAYiAQxEAhiIBDAQCWBom38Bt4ML0fa895Xu7tYN0gb39SqQ390CgoTtFmAgEsBAJICBSAADkQAGIgEMRAIYiAQwEAlgIBLAQCSAgUgAA5EABiIBDEQCGIgEMBAJYCASwPAv8MuzIU/JhEwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 196,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 197,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 197,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "metadata": {},
   "outputs": [],
   "source": [
    "#S-gate \n",
    "#Create the single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add an H gate to the qubit to drop the vector onto the X-axis\n",
    "qc.h(0)\n",
    "#Add an S gate to the qubit\n",
    "qc.s(0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 199,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.70710678+0.j        , -0.        +0.70710678j])"
      ]
     },
     "execution_count": 199,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 200,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 201,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 201,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 202,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Sdg-gate \n",
    "#Create the single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add an H gate to the qubit to drop the vector onto the X-axis\n",
    "qc.h(0)\n",
    "#Add an S† gate to the qubit\n",
    "qc.sdg(0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 203,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.70710678+0.j        , 0.        -0.70710678j])"
      ]
     },
     "execution_count": 203,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 204,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 204,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 205,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 205,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 206,
   "metadata": {},
   "outputs": [],
   "source": [
    "#T-gate \n",
    "#Create the single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add an H gate to the qubit to drop the vector onto the X-axis\n",
    "qc.h(0)\n",
    "#Add a T gate to the qubit\n",
    "qc.t(0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.70710678+0.j , 0.5       +0.5j])"
      ]
     },
     "execution_count": 207,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMkAAABOCAYAAACKczJlAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/d3fzzAAAACXBIWXMAAAsTAAALEwEAmpwYAAADMklEQVR4nO3bwUuTcRzH8c/S6GBCu6jMcEJYF4/DwwiUWB6EKObFP6BLh06CCKaCpKc6deu0m0GpxGAIQWxMPMT6A0KCCQniZYIOCydPh0haGl+nT3t+c+8X/EB+Y/6+B9/48DxbyPM8TwD+6UrQAwCuIxLAQCSAgUgAA5EABiIBDEQCGIgEMBAJYCASwEAkgIFIAAORAAYiAQxEAhiIBDAQCWAgEsBAJICBSAADkQAGIgEMRAIYiAQwEAlgIBLAQCSAoTXoAS6T5YK0VQrm7O6wlIyd771fPkp7O/7OcxbtHdKde/U/t1ZE4qOtkvQ1gD+2i9rbkXa/BT2Fu7jcAgxEAhiIBDAQCWAgEsBAJICBSAADkQAGHiYG6N3zIfX0JzTw6NmZ9l3wYOr68c+HlR+SpKut14730vP7dZ/pf3MykpWVFU1PT2tjY0PRaFQTExNaW1tTNptVsVgMerym9mcEL98+1tFRRRNjqeAGqgPnIlldXdXo6KgSiYQWFhZULpc1Ozurg4MDtbS0BD0empBzkczMzKi3t1eZTEatrb/Gi8fj6uvrUyQSCXg6NCOnIimXyyoUChofHz8ORJKi0aji8filvNT69H5enzMvqvYOv++rpz8R0ET4m1N3t0qlkjzPU1dX14nXTtu7iFAo5PvK5bI1zzHwcEpPXu9WrcjtuzX/nlwuW9e5/XCRmf1YZ+VUJOFwWKFQSNvb2ydeO20PqAenImlra1MsFtPS0pIqlcrx/ubmptbX1309y/M839fg4JCvM9ZicHCo4ea+yMx+rLNyKhJJmpubU7FY1MjIiNLptBYXFzU8PKzOzs6gR0OTCnm1JFUny8vLVc9JJicnlc/nnX9O8upDcN9MvNUhPb1/vvcW3gTzzcQbN6XYWP3PrZVTd7d+SyaTSiaTVXv5fD6gadDsnLvcAlxDJIDBycut06RSqaBHQJPiPwlgIBLAQCSAgUgAA5EABiIBDA1zC7gRdIcb8+z2Dv/maIRza+XkZ7cAl3C5BRiIBDAQCWAgEsBAJICBSAADkQAGIgEMRAIYiAQwEAlgIBLAQCSAgUgAA5EABiIBDEQCGIgEMPwEse99DXbte3kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 208,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 209,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 210,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Tdg-gate \n",
    "#Create the single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add an H gate to the qubit to drop the vector onto the X-axis\n",
    "qc.h(0)\n",
    "#Add a Tdg gate to the qubit\n",
    "qc.tdg(0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.70710678+0.j , 0.5       -0.5j])"
      ]
     },
     "execution_count": 211,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 212,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 213,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Rz-gate \n",
    "#Create the single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Import pi from the math library\n",
    "from math import pi\n",
    "#Add an H gate to help visualize phase rotation\n",
    "qc.h(0)\n",
    "#Add an RZ gate with an arbitrary angle theta of pi/6\n",
    "qc.rz(pi/6, 0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.70710678+0.j        , 0.61237244+0.35355339j])"
      ]
     },
     "execution_count": 215,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 216,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 216,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 217,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 217,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "metadata": {},
   "outputs": [],
   "source": [
    "#U3-gate\n",
    "from math import pi\n",
    "#Create a single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add a U3 gate and rotate all parameters by pi/2, and apply it to the qubit\n",
    "qc.u3(pi/2, pi/2, pi/2, 0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 219,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([7.07106781e-01+0.j        , 4.32978028e-17+0.70710678j])"
      ]
     },
     "execution_count": 219,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 220,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 220,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 221,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nJiYmeJGyCmJweEz6Kmm51NLZOcAz9MXAye94dHSUEwQrhMHhMRMTE3mHHfJAS9XIqRMey7J4GdoKYXB4iKqqOTvDiapZufvZsoPIMAx2llcAg8Mj8jVR1VrzVCmcPHOdd9uCAAvzXwHQzmsV+7h8z62GfaScI/uyg0gQBMRiMSQSiZK3T4VjcHhEviaqSo6K8trwUaea6ha8mp5lQcD8VwC081rFPi7fc+0Oz7arHPtBOco+n/HxcTZZuYjB4QGapjneRFXIHIPZj/HCxDsqr2I+73INq3Vylrmu6xyi6yIGR4XNN4rKjnKs5zT7D7uam0bSqqmsTipmBnipCt2fyiUSiXCUlUsYHBUWiUTKsmy0E2fuTjcvuKGQsi5YG0N5+jcqye535sXvuJDgWQzzn7yAwVFBmqblrF577ZKe1aygxQsXWsgP5enfoNIUEma6rnOUlQsYHBU030Q/L57xlYuboVjLnyPNZVkWm6xcwOCokGg0umivbObmwZw1t9qy0PeZ3rfYZOUsBkeFcAQIVQOvBW+hJx0cZeUsBkcFqKoKwzAqXYyaV+tNfm6o5s+PweEcBkcFLLRDV/Mfa7mUMsPaKWaB1zaxM+vbzW3Vslx/M6ZpcgkfhzA4XKZp2oIdd9V4sCimzOW4omCxl0othrjQDPN5XrfYspRzW8Xw+n6Xlm//Y63DGQwOlxW7Ixd6sCjXH3o5Lk9bzPWqyVvKMQ+mUgRBgK7rHGHlAAaHi3RdL/vFZ5xaJoQH9dri5ME9e9XaQl/Hzf2LtY7yY3C4qNj21nI06ZRTujyVWjCP7Mu3n5Tz+1hwscgyva7d56qqumiHvjuFweGSUjrqvHb2ny6PmwvmVZplWUAZD7LzHfy8NkHSa2FfzD7EWkd5MThcEovFyr7ss9f+oGuZIAiAS6Hn9DLpdlVb2Of6TJz4+1vMGBwuiUajZd9mtf1Bu83Lwcq+KOfkW76dtY7yYXC4QNO0eSf8efkAV814UKW09JUCqTwYHC5IJpPz3s8DHJHzOCGwfBgcLij3EFzylvQwVNYcvY9zOsqDweGCRCJR6SJUTPbBtJw1q+zt5jtgZ7+ekwf39DBUp97ffI/hkGh7eBJXHgwOhxWzvIjX2Snz7IN3uWRvt5A5Ck4c3J1U6NImpQyJLmU+jlfYLbtpmpzTUQYMDoctVNtYLOPoF+K197gYlDIfxyuKKTtrHaVjcDisHM1UhS7kV83t7NV88CJnFNIcWQz2c5SOweEg0zQd20lzNTNUU1NMtmoNOy9w67Oz+zrlKFd2k5ogCAX1ZRWCwVE6BoeDnNxB3QgItw5KTr2XxRBIbp0o2H2dcpZroSa1Yvo5GB6lYXA4KNfOWU0Hs2qsvWRze5ST09vP9xiv7lNeLRfAWkepGBwOytW/Ue0H41J4+UCyEKe/t2IvEFXocyvBa+XK3v8W8xD5cmBwOMSyrAVnjC82XjuQkDdUokmUwVEaBodD5lubiqjauHEhKLcxPIrH4HAIJxlVXqEHu0KHMTtx6KyW5rtarC3y5K54DA6HOLlTVsvBZja3y13owa7QYcxOHDpnv26pn1EpneyLDa/PUTwGh0Oc3CmdPvubfQZergNNLZ61llupn1Epney5VEvIFFNOBkfxGBwO8cpOWcwf1OwzcB7wF69a/u698jdajRgcDilXU1WpZ3y1/IdPtafY/b3Q/Tx7+wyO4jE4HFLqTpnewfNdBpNosXBqf2dwFI/B4ZBid8r5AiONtQhyWyWXn1lofy92mX8GR/EYHA6Zb6ecb0evdCiU8wDBmpG31cr3U+ylCTgct3gMDofMFxyVDof5OLE4nVuv5xQxEMCwpuFAXx/Onz9f6eKUjZ3Pvhq+p/nka/JlraM4DA4HmKZZ9X9obqmGs95RQcArw8N4q7cXP/nJT9DX11fpIrnO69+TnfJlDzdncBSHweEA0zQ9/4e2GJTrOzh3/jyMqe/UMAycPXu2LNutJl4/EbJbe0o/nsFRHAaHAwppO/VqsDhZLjffc/riP3afk6uMy7qWQpRSBxtJkrBixYqCt0feMvs74XdUHLnSBahFheyMXj2D80K5ijnoz1bM8/M9J9BkYuP722CNh7Fl3fuwbNmyvNvILrsbM/zd+r6cei033wMw9zuRJMm1164lDA4HyHL1fazzXZoTcPdg7oXwymZaBurbAmhf2YVlLflDA3C37KW8lt3vUxRFR87OK/1diyIbXYrBT80BXt8Zcx0AFjooVPoPnMqrmGY8O4+tliYgr/+tehU/NQc4vTOm/yidXp6BqBiFrjZcadXYMuAVDA6HOBUebrahO6FazkTJe8q977C2UTx+cg5xqtPNybBw46BejWFH3lDufYfBUTx+cg6ZLzicuNaFXblet9YO6qzdeJNXvhcGR/H4yTlkvp3SC9e6qLWQyKUS79HuQdErB1E3eeV7YXAUj5+cQ6pxp3TiILbYDox2D4rVEOC18B3m+pzZOV686ju6VYlqDA4nDmJePjDaOiBaFoDam8dQiGooYzGq8W/UK/jJOYQ7ZWGcPJtd6IA3+/588w8sABAAWOU7gHKRvcrj32jx+Mk5xI2lDKqtCaGQDvlKXg8k3/wDIf3fMp54OzGkutr2B7fN/nzYVFU8BodDfD6f46/hZtNSOQ5K6W17+UJW1azUz66YFQUqrdir//n9ftY4SsBPziGiKMLv91e6GLbl+0N0+wJP5eL1A5+XOBE8Tiu0zLPLpiiKE8VZNBgcDnJj56zGs0Q3sQZTGqeuEuj29zL79arxpM5LGBwOcmrnzA6GnG3yHj9zZLAtLl47uanW1gAvYXA4qBztqLkuPON026zTZ4NeqQUwwNzhtWVy2ExVOgaHwxY6s7G7nPlC182gwnklwIpRK/tAqe+jmO+QtY3SMTgcttDZTTkOXrVyEKHCVXPoZXPjKomzscZROgaHw9w4u6mVgwh5Sy2ckMy+cqEsyxyGWwb8BB0myzInGpGnFLo6cy2ckMy+RC5rG+XB4HBBNbap1sLZZiEKeZ8W0ktV5R4dlO+KjMVew32h55XKC6szV0o1/i16EYPDBdV4llOJtudKvE4h71MAIGT+M/f5+ZYPmW/b8w1yWOh52fLVHuz+vBiIoliVf4texOBwQSAQqOp2VSfG4bt1plvrZ9T5ag92f56t1Ovae1E4HK50EWpG9R7NqoggCAiFQgU/vtA/1lIuGlTsGj/z3Ua1o5RFGPPtW5We9Gfnb5Dmx+BwiZ2znUL/WEu5aBAP/OSUfPtWrtvdCpNQKFTVtX6v4SfpkvQZT0GdsQ7VOIi8xq0TGDZTlReDw0XhcLiwztgCO0BZayBaGGsb5cdP00WyLBc1qoNNTKVhzWxxmf19s7ZRfgwOl3Endh/D1n2V+sxnX8VRURROwHUAg8Nlfr+/KiYh8WBbu9yogZVrOG++68DnM/sa7jxRcwaDowKqYWcudBZ0sbOcq2kimmVZMC2kppAv8DivqlTfWKmvle868IW8XrWcpFUjBkcFZFefFzrYeOVgZGeIpd37ynGd82I/p0IHK4gAIJQ+Cz0fp9/rYqxBVsMJWrVicFRIeqde6A96Mf7Bp7lxKdKCD8JC5j+OKKT86bKWc1JerfL7/VxexEEMjgoJhUKerEZXarXUxXZgK0Ypn79btaFiHl9ugiCgqampomWodQyOCvLizl3I+kVuv245VPpgVs1KWaHADbNXGm5sbORIKocxOCpIlmU0NDTkvK+cf3yLubkrjZ9B7cpeaTgQCHBNKhcwOCosHA5nmqyKGWlUziVMiCqtlH1VFEVP1uJrEYPDA5qammwPO0zjmbQ3MJxTyvU5FLNfNzQ0QJKksrw+zY/B4QGyLKO+vr7gxy/Ugc2DmPsY4CnlmLcB2LuaIpAa4s4mKvcwODwiu8lqIQt1YPMg5n21GO5O7nfZ25792bGJyn0MDg9JN1kBtXlg8RK7S1lYmf9MP9/Oa83mhXAv5z5m9/MspSyzP7uGhgaufusyftoekt1k5YUDi13lOBAVe5lau69teymLzH+mn2/ntewqdikXO7w0cq/Y57OJqjIYHB5jp8nKa8pxhbdiL1NbSN9O8QdcC7CshZaqKqtil3KZzY1lWypVO5YkiU1UFcLg8KCWlpaaGR3ipQX1ii+LAAjCvAuOeLVpsZSaUaHvqRK1Y1EU0drayiaqCuGn7kFu/lE41by02Dhx8Kz052pn/Sw3pGuVgiCgpaWFs8MriMHhUbIso6WlxfH1ocqx/Wrsj6kG1fC5ulnG9P7a2tpatc25tYLB4WF+vx/Nzc2Z38t1cZy0xTiCazG9V6dU8jNsaWlhaHgAg8PjFEXJdACmD/TlPsurhjPbcllM79UJ5R5ya+fkpaGhgUulewSDowqEQqG8iyEWyq2zRJ7R17Zil8bJ1yxa6DVGwuEwL8zkIQyOKlHqH45bZ9o8o6fZSj2ZKMeJE5UXg6OKNDQ0zJnsxDP8mQrtByrqc8szc7zUCX6FrIpc7d9zoZ/R7O8vu6mWvIPBUWWampqgKEpJlxF1QyFLUDhxMCy0H6iozy3PzPFSrwE+++dilijJtyigFwKnmLkkgiBAURS0tLQ4VSwqAYOjCjU3N7vSSVjKUh+FtIVXKvTsvy93Z46XY3l9pwZSuCUUCjE0PIzBUYXSY9nr6uocf52Fag7VeGAqdAmTrN8WnDlea9LfeyVqLA0NDWye8jhOvaxijY2NkCQJExMTAJxZUr0ag6GaeWVZ/EKaxspZTsuyIIqia7VpKg2Do8qFw2HIsoyxsTGYpumZAw8Vp1q+u3xDa+10gmc/1ufzcRmRKsKmqhqgKAra2togy3IRzTBUayrRvJQvNPLta9m3+/3+zP5L1YHBUSNkWUZbW1tByzHMHnFjd6gkeVspJwbl/o6z97Vc2w4Gg2hra+Mqt1WG31YNEUURbW1tBc/1sLtWlVdqKsUc3GaHpe2r/8GaGlxVmQ5jtxR7TZVCRtDlunJf9lpsVD0YHDWoqakpM9M23YTg9MHO6VApdZTP7OGptq/+B2FqcFVxS26Ug9uB5dRcofSy6FxCpHqxUbFGze40d+PAXuzzqrlfphyDESr5Gcz32k68nt/vR1NTE/szqhxrHDVMURQsWbIEgUBgxu1eamqpjtBITQDMxc7FjhY6QFfie3HrsxVFEQ0NDewErxH8BmucJElobW1FPB7H+Pi4K7WPcqt80KUmABb97AKDwe3vxW5tqZDH5wrJQCCAxsZGBkYN4Te5SASDQQQCAUxMTCAWixW1Dc4RqS12R9PZnRSYrmXMHqxB1Y/BsYiIophZJHFiYgK6rs/7+NkHgkKbZRgu3lXM91Po47MfFwwG0djYyGG2NYrBsQgpigK/349IJIJIJJL3ceVYbM/rFlvQleu95mt+yz45odrF4Fik0s0IiqJgbGwMuq5DEISq7AMB8i9HXsjzCmFawOzlcZ34vKolyHJ91nV1daivr2ctYxFgcCxyfr8f7e3tiEQimJiY8MRBq5gQcLoDXRSA2cvjclHJFFmW0dTUVNCqBVQbGBwEIDXvQ1EURCKROZ3n5TxAzretfJMVc/W1VH6kVeV5oXYSDod5WddFiMFBGekzx3A4jMnJScTjcQDFnwXPPrAtdKCbfV/68blud9Wsl7N7wHYq6Mr1vRSDE/kWN37rNIcsy2hubkZjY+OCHejzyXdVumKfXzGzimG3XKWERqEHeTdqH5ZlIRAIZGqntHgxOCivdAd6OBzONGGZplnQc73QjFILihkKW85tpkMvEAigvr6e/RgEgMFBBcgOkFgshkgksmCAlHtGcrll96dk/3/ex2f+42x5nZjNXUpZFEVBOBxmYNAMDA4qmCiKCIfDCIVCiMViiEajMAyj5O0WO18ke4n0hTrc871moavlCpn/lCcUc93u5OQ8O2UDgFAolFkok2g2YYH2Vw5doXlFo1FEo9E5s9DtrPjq1RFSlmVhMHoKR4b/E6fH98MnBtAa7EJ73Sp01K1Fe3i1K3M4sm93+vNiYCx6Be3QDA4qi0QigWg0ClVVZ9xebFNKpQIldc0PE/sHXsJvzz0N1ZiEZZnQrWTmMbIQgCAAityA9y7fjS0dN0EUJdfLmq3UJitO3qMpDA5yn67riMViiMfjZWnGcttg9DR+duQRTGpDSJpq7gdZyPx5+UQF9YE27Fr/JbSFLnGkTIWuSmunuU4URSiKkvlHNIXBQZWlaRpUVYWqqpmmrAU7oSs4Guvs+Dt4+tD/g6ShAUL+Xd+CBWHG35cAnxjAbRv/GCsaNzlf0CKk58MEAgEEg0GGBeXD4CDvSIdI9pDe2c1RToRGvk7o9OunDcbO4In9X5+qZWRVKbKkH556fvqX6dtlMYA7tj6MJaGVrgbgfM16giBkgiIQCHCINC2EwUHepGkaotEoEokETNOcd+STnX6OYkcqGaaOf+z5EkbU80jv8lZWIMzcXr7bLQiCiJbgcnxq6yOO9nkUMgPf7/dnAoP9FmRDQcHBoRPkOr/fn5kXkEgkEI/HoWlazpFZudg5m5+9/Heu5+2/8BImtSFkzpPMPOmQszCZVwJgYSIxiP0DL+E9nb9b2POzyplvra75Hguk3pvP54Pf788smc+wICcxOKiiAoFA5propmkimUwikUggmUxC07Q5B1E7a10Vcp9lWXizby80Mz7V7CQAYqoHI1/tYuaGZ/wfkqaK/zq/F1cs3WH7Cnuzf57v8YFAAD6fDz6fj7UKch2DgzxDFMUZQQKkRmlpmgZN05BMJpFMTg+LtSwLoiiWNGz3YvQkoolJCBBgwZqxLQECLDMVHuluDQHIdIFYljV1m5C637IgiALiyUlcjJ5Ce92q1HYWmlyYp5kufa0PURQztTS/3w9ZlhkUVFEMDvI0WZYhy3LmutWWZWVCJN28lUwmZ6yiO9/FlWY3BfVPHIUgCqnahpUKD0EQYFqpbQgiUuEhpkZTpZYeESBY1lRgWJlRViYswBJgCRYuTB5He92qnME2u5kpe3KfIAiQZTlTo2CzE3kRg4OqSnpIaXatxDTNTIgYhgHDMKDres5rqs9uFhqKnULSSjVTWVP/BFgQAJiCkapZmCZk2QdDNwHBgiiIsAwBEKzU40XAmrodQqq5ajB2MucVAtNBIUkSZFmGJEmQJAk+ny8TkkRex72Uql56MlsulmXBMAyYpjnjn2EYqdqHbECSBcCcDg7TTLVFCUKqBiJJMiwr9TqZfhB5qrPdsiBKIiwAoiAAIlJtW74kGhoaMk1NkiRBFMXMP6JqxuCgmpZu+smnra0NYW1u6GSv/ptvFNd8AdDa0oZwOGyztETVgcFBi9rS8Fr4RGXO8iKl1Ap8ooKl4UtLLRqRZ7HOTIva8vqNZd+mAGB5/Yayb5fIKxgctKh1hNcg5Gss6zaDvkZ0hNeUdZtEXsLgoEVNEARcf8kn4BPLs+ifT1Rw/SWf4JpQi8Tdd9+NL3zhC3j44YdxzTXXoKGhAUuWLMGuXbtw8ODBShfPMQwOWvSu6tyFxkA7ClymZx4CGpV2XNW5qxzFIo+zLAvPPvssdu/ejX379uHzn/88Xn/9dbz88suQZRkf/vCHMTIyUuliOoKLHBIhNYP8/3vz8/mvwVEAn6jgM1ftQXvd6jKWjCph06ZNePfdd3Pe981vfhMPPfQQ3njjDezcuRMDAwNzRu5FIhE0NjZi79692LWrqk4kCjp7Yo2DCEB73WrcseXhqSYruzUPAT5RwR1bHmZo1Iinn34aAPDCCy+gv78ffX19CIVCeOyxx/DAAw8AAPbu3YuPfOQjOYd7T05OwjRNNDc3u1putzA4iKasaroCn7lqD9qCKwru8/CJCtpCK/DZqx7FqqYrnC0guWZgYACCIOCGG27A0qVLEY1GEYvFsG3bNgSDQQDAM888g927d+d8/n333YcrrrgC1113nYuldg/ncRBlaa9bjXuu+Z94s/85/MeZJxFPjsMCZjRh+UQFAlKjp66/5BO4qnNXxa85TuW1f/9+dHd3ZyZx9vT0IBQKYe3atQCA48eP48SJE9ixY8ec595///147bXX8Nprr0GSanO/YHAQzSKKEq5ZvhtXL7sVA5FenJ88jAuRY9D0OPxyEEvDl2J5/QZ0hNdw9FSNOnDgALZs2ZL5vaenB5dffnlmYujevXuxfft21NXVzXjeF7/4RTz55JP41a9+he7ublfL7CYGB1EegiBgaf1aLK1fW+mikMsOHDiAnTt3Zn7v6enB1q1bM78/88wz+NSnPjXjOffddx+eeuop/OpXv8KGDbU9AZR9HEREWUzTxMGDB2fUOHp7e7Fy5UoAwODgIH7961/PGC1177334vHHH8cTTzyB5uZmXLhwARcuXEAkEnG9/G5gjYOIKEtvby+i0eiM4Ni8eTMeeeQRXHnllejv78c111yDjo6OzP179uwBAGzfvn3GttJDd2sN53EQEdlw66234vrrr8dXv/rVShfFCZzHQURUbtdffz1uv/32ShejoljjICKitIJqHOzjICLKQzNVXEycwXDyPEaTF2EYE4gbE9DNBJrkFmjGGGRRQYuvCwFBRr1/KRp8K1Dv74Qg1G6DDoODiGiKYRk4qR7Gkehb6I29g5gxCdMYztzfLrUiNvW7FViD0UQvACCpbMSEeggA0ORfCSt5Ec3BdWgLbkZH6EqEAsvcfzMOYnAQ0aJ3Tj2F1ydfxluT/4k6KYxYsj9z3xIxDNVMDav1S6FMcGQTslr1A2IIUSuOodh+xJIDOD/8T6jzr0R7/fvR3vB++KR659+QwxgcRFnSQydrcQglzXUg+r/xs9FnkDDjGNFOAwCi5iSWSs2IGKMAgLBvCdREKjgkIZBzO6aZzPwsWHrm5zqpGWryAqLaaZwfex5Dw0+hpeH9aG++BQFfu1Nvy3G12whHVAZ/8zd/g6uvvhqBQAB33XXXjPtWr16Nc+fOVaZgVJJj6nE8OvAoHun/Lo6qh3FaO41m3/S8jMasnyUhmPlZFHw5t2dY02uZJY2xzM+WMZn5OezrgAUNwxP/jmPnHsTg4D/AyLq/mjA4iOaxbNkyPPjgg/j0pz89575du3bh2WefrUCpqFhRPYq/G/gf+Ma5P8Urk69jidyZuS8kTS+BHjcTmZ81S8v8nG+YqW5EAQCyEISqDwIA/GID1GTqxEIQfNC1s5nH1/mWY3z8RZw+/UVMTOwr9W25jsFBNI+PfvSj2L17N1pbW+fcd8stt2Dv3r3uF4qK8nbsEP7k/P+Lnuh+WFP/80vhzP2nEqfhR6op6rx2Fn6kltYf06f7NEyYc7YrQIBmTgBINWulx7PW+zszPzcEVsOc6ieRpSYY6vHU9swIJsb2oa/3O9CT4+V8u45icBAV6cYbb0RPTw/Gx6vnD34xsiwLPxn+Gf6s76/RlxxAi296hFNv4iSW+1NrUKlWHB1K6kJcBnS0BroAABPGKAJCahXcpKlhtoAYBqYCJSBOr5YrZvV1iGYs83OdrwNAqk9Eklqgjp1EbLIHZ498DfHIkTK8Y+cxOIiK5PP5sH37drz44ouVLgrloZlJ/NWFH+Kd+ElYUw1NJxJnsF7ZlHlMMmvO24gxfRJgZs3DqJ/qyE5Y8TmvEciqtQiWAQAQBT8SiVTTVNDXiaSWarLyy+3Q1aPpR0MyGoCpZjHTjOPi0R9gYuCVot+vWxgcRCXYsmUL3n777UoXg3JQzQQe7vsf+E30AA6pp7EusC5z3xltAE1TfRpntHNYGUgtnX8h2Y92/woAQL/WB2EqVOSpK0LGjbmr3frF6c7z5NRIrAb/ClhI1U6CUkPm/qDUkBm6q/jXQ4ucmrpHgF9YjmS0DxePPoqx88+X+vYdxeAgKsEvfvEL3HzzzZUuBs2imhr+ZuBp9Cen+ydOaYNYPtVMFTdVtMhLM/eNG3GkV9sQp0IiZkbQ5k81V2lWcup5UQgQIUKCJPgACJCnRlrJgpLpGPcJqZkOkhhEUj0JAFB8XTASqb4NWWqFOnYi8/pKYAMSY71Tv1mIXPwNRk96Nzw4j4NoHrquQ9d1GIYBwzCgqipkWYYsyxgdHcWhQ4ewbdu2SheTshiWib+88M/YH+tFm9yAJgkYM8ahWUlETQUNYj0mzEmcSJzFemUTjqjv4II+gMuU9TihHsZJ9SRaxXrEzEmEpBasCTZiTXATVrT8PpYGVqNuqgZhIdUxbsFEJDmASe08RqJvYTxxEro2AACo96+Erh4GAAQEGamGLAGiEQbMVKgpwXVQLx7KlF8Jr4M6cAzqhaOQfHVo6PqAex9egRgcRPP49re/jT/90z/N/P5P//RPmWssPP/889ixY0fNXle6Wv3LyCvYH0udvQ/pEzPCY8yYxAp/B2JaHDp0nEkMoElqwZgxgv7kMCTI0KHjsrprsCm0CVvr3gvdSsIn+CCLM+dwCJn/l9DgX4YG/zJ0hDYDAEwzgb6xFxCPHYAOIBRYDSMxVfPwr4c6kgoTX2A51KGsmsdUaGBq8dnBd/8ecqADoSUbHfzE7OPquERZ7Mwc/9jHPoY77rgDt912m7OFooK9PH4A/33wJWxUOnFIPZa5vU1ugG5FMDbV+b1euQRH1HcBAKsDK3AykTrj/1jzblxXfy1a5SWQBRmSUPxJgTk1Amsi9r8RGX8Zanw/ZKkV+uQkYGqQ5EZYUQGmNgZgbmhI/kaIRhhGfAKX3PRdyKGWostiA6/HQeSkUCjE/g0POa8N4++HfgUAOKT2Y01gDRT4AaRqHrIQRpPUCAA4op7BBuUyAMDJxFlcE3ofHlz2dfwfzbuwzN+FgBgoKTQAQBT9EEU/GuuuwbLO+9HUdCtEPQyYGgTBB1GvzxsavrouWFEgOXYeZmISF37zfVjW3DkklcIaB1GWffv2AQA+8IEPVLQcZI9pmfjrgX/H0fgpjGQt49EhN0K3ohieWgYku+YhQsTKQCu6/O34v5bcDlmQIQvOtd6bpoZk4gIunPorSGY91JHUnI3ZoaE0roPafwIwpueBBJrXor7rBjRt3OFY+aYUVONgcBBR1Xtx7CD+Yeh1KIKMVYEmHJ4ayQQAdWIAbbKC09p5ANPhMWFM4r913IH31F2GgOh3pZyWZcCyDFw49FeIjbw1KzQEKA0boJ6f7igX/WH4Ap1I9B+DIAew8vcfgVw3dxWDMmJwEFHtmzRUfOH0k4hmzepe5W/BuDGC0anahwQRlypLcFhNdZq3y034bPvv4VJlJRSXQiObaSQweuYZjB55GrAsiHIQPqkTiayO8kDzWiQHB2CqWQsldl+PpR/4v50sGvs4iKj2PTd6GJf4O1EnKJnbTmkjiJsyNmSWEDFxWB3ABuVSSBDxh203Y52yqiKhAQCiFEDzJbcitORKyMoSiHo4ExqiP4xAw6VInD0+IzT8TSugDZxDYvBURcqcjcFBRFVrwlDx8/EjOKQOw4CCy5SVCCA1bFa1dBxWh7DKvxLNUxdPOqz244/ab8PW0BoExNxLpLtFlAJYesV9kKxW6JOpiYOB5rVAXECib3pEmK++A4GGNdDOnoV24TRG3vhppYqcweAgoqr10vgxJKbWh1ItHe+qw/CLDdigrIA4dXhL1T582KCswtpAJ64Nr3etT2Mhgiij4713Q/Q3INCwLlXLiE81rwWboTSvR7L/IhLnezPPifb+FsmxC5UqMgAGBxFVKdOy8EZkBBuVLjRJocztk2YCh9VRNMttWBdYDgBQrSR6E2P4cufuitc0sgmCCDnYguZLb0OiL7X4oegPQ2ndCGN4EuqZI5nRVgDgb70EgZa1GH/r5UoVGQBnjhNRlToQG8RpLXUdDBEy1gS6YFgJnNJSzT7DegzDOtDp60RQtLAtvBpBD4VGmij50bj+Q4iceB0CfEicOwl1eHpkleAPItCyEvroKLTTZwAA+tAgWj/wCQhiZc79WeMgoqr0euR85mcTFnoT4zilqVgit2ODshyhqcUH+5OTGNMN3NR0madqG9kEyY8l770L6ol3YWmppdt9jUuhLNkAK2JCPX4Y+vBA5vFGdAzxM+9WqriscRBR9TEtC+c1AxuVTowbUfQlJzL3DepxDOpx+IU6rFfqMWlM4ob6lempEp4kCAL8rSvga+mC5AvCjKrQzp9FEjP7MgRfAP62LgiWjNjhAwiturwi5WVwEFHVOZWIoDcxPVS1UWpGp0+BZmk4kxiFDhOaZeCIOgYJAn63aT38orcXoxQECU2bfw+Dz//3GbdLdU3wNS2FFdeQ6DuDxGiqo9yYiKDtd++oRFEZHERUfQ6pYzN+HzeSGDdS18zwC2Gs9YcgwURfcgybQo7OtC4bQZJQf9nvYOjnfw+5oQ1SsBHG2DiSA30wBsbmPD558TyMyASkcMPcjTmMwUFEVWcoaWCjsgQJK4nBZAyTWbPGNcvE8UTqSn0C/NjZuBZBsXoOdeE112Hyzf+FJPrm3ikI8DW3Q6prBCwJiXOnENqwxfUyVs+nSUQ05e14BOe09PW//WiS6tAq++AXAM3SMJSMYdzUYAFY5g/Nt6mMffv24YMf/CAGBwfR1tbmWNnnI8g++FqnrkwoipCblkCuawIgwJyMQhsYQPL0AJJIdZQn1l1RkeDgqCoiqiqWZWEgqc64bcxIojcRwyE1ht6EjnHTj0apCZuDS2fUNu666y4IggBBEODz+dDd3Y0vf/nLiEajbr+NnARRQt2Gq+Bv7ALiMvTTA1DfPQL13cPQzp4FNG3G45MX558IuGfPHqxevRqKouCqq67Cq6++WpZyssZBRFVlwjCwJtAEzTKgmjoiRhITZnLO48YNHaIgImGakKXpc+QPf/jD+OEPf4hkMolXX30Vn/nMZxCNRvHxj3/czbeRl695CbRz53LeJ8g+SOEGiME6CP4AgPwd/k899RTuu+8+7NmzB9u2bcOePXuwc+dOvPvuu7jkkktKKiNrHERUUZs2bcrUAmb/y3UlxgnDwGFVx4mEhb6khAlTgYh6NEpNWOZrQXegDeuVNlymtOLqulYEZo2mCgQCWLp0KVasWIE77rgDd955J/bu3Zu5f//+/Xjf+96HUCiEq6++Gm+99VbmvuHhYdx+++3o6upCMBjEpk2b8Pjjj8/Y/iuvvIJrr70W4XAYjY2NeO9734uDBw9m7n/99ddx4403IhQKYfny5bjnnnswMTE9nFiQZYQ2XwNl9UYEutbBv2Ql5Lp2CGYI1lgS+rlhaMfOIPHOMahHjuf9XB955BHcdddd+OxnP4uNGzfi+9//Pjo7O/Hoo48W+tXkxeAgoop6+umnAQAvvPAC+vv70dfXh1AohMceewwPPPDAnMfHTGPObSaAccNAXzKJE4kEjqgJvKtqiBmALMw/eSMYDCKZnK6xfP3rX8d3vvMdvPXWW2htbcWdd96J9OUnVFXFlVdeiZ/97Gd45513cN999+Fzn/scfvnLXwIAdF3Hrbfeim3btmH//v34zW9+gy984QuZ69K//fbbuPnmm3HLLbdg//79+OlPf4qenh58+tOfzry+ldSRPHUe6tuHkDh8FNrJ09AHLsKKxea+7/jc2wBA0zS8+eabc65QefPNN+P111+f9/MoBJuqiKiiBgYGIAgCbrjhBoTDYRw/fhyxWAzbtm1DMBic83jDsrCkwBngTdL8h7g33ngDTzzxBLZv35657Vvf+hY++MEPAgC+8Y1vYNu2bTh//jy6urqwfPlyfOUrX8k89o/+6I/w8ssv48c//jG2b9+OiYkJjI2NYdeuXVizZg0AYMOGDZnH//mf/zk+/vGP40tf+lLmtkcffRTvec97cPHiRbS3twMAfEuWwtKmrwCYT76huENDQzAMAx0dHTNu7+jowL//+78vuN2FMDiIqKL279+P7u5uhMNhAEBPTw9CoRDWrl2b8/GWKWAwVtg15qI5jqv/9m//hnA4DF3XkUwmceutt+L73/8+3n03tYTHli3To5SWLVsGALh48SK6urpgGAa+853v4KmnnsL58+eRSCSgaVrmUsMtLS246667sGPHDmzfvh3bt2/HH/zBH2T6FN58800cP34cTz311PT7marN9Pb2or29HZZlQb8wCv38yMJvUK3MVHg2VRFRRR04cGDGwbqnpweXX345xDwL+AVsLOynmuac297//vejp6cHR44cgaqq+OlPf5o50wcAn2+6NiNMNXOZU9v53ve+h7/4i7/AV77yFfzyl79ET08Pdu/eDS1rtNPjjz+O3/zmN3j/+9+PZ599FuvXr8fPf/7zzHY+85nPoKenJ/Nv//79OHbsGK644orMa1rJuZ39uQj+3DWvtrY2SJKEgYGBGbcPDAxg6dKlBW17PqxxEFFFHThwADt37sz83tPTg61bt+Z9fGhqhJQMoF6UUCdKUAQBMgQIFmCaQNK0ENdNxOMmEoaJQNaoqvlqMwt57bXXsGvXLnzyk58EkKotHD16FE1NTTMet3XrVmzduhUPPPAAdu7ciX/4h3/Ajh07cOWVV+Kdd96Z9/UFnw8WQvB1rYGo+CHIYuoU3zBgJTWY8TiMSARmJAIxVJdzG36/H1dddRVeeuklfOxjH8vc/tJLL+H3f//3i3rv2RgcRFQxpmni4MGDMzrBe3t7cd111+V9TrMkoS4uImqYGIWBUcztLE87NBmHYRXWrFWIdevW4amnnsJrr72GtrY2fP/738fJkyfxnve8BwBw8uRJ/OAHP8Att9yC5cuX48SJEzhw4ADuueceAMADDzyAa6+9FnfffTc+97nPob6+HocPH8Zzzz2HH/zgBwBSa1Dp/YMLF0ash68j/7Da+++/H5/85Cfx3ve+F9dffz3+7u/+Dn19fbj77rtL/hwYHERUMb29vYhGozOaqjZv3oxHHnkEV1555YyaSFpQnn+xQp8AdPj8CAsipIS9pq2FPPjggzh58iR27tyJYDCIu+66C3feeWemfyQUCuHo0aP42Mc+hqGhIXR0dODOO+/MBOOWLVvwyiuv4MEHH8SNN94IwzDQ3d2N2267LfMa2oUhKBs3AHoS+vg49MHhGRdzyjAtSA31ecv68Y9/HMPDw/j2t7+N/v5+XH755XjhhRewcuXKkj8HwZo/jcsX1UREZfInB8/hWESFfyok6kQRpg5MJAxcjCdhZh25/nrbSrQHvXkdjtlMLYmRp/4NY8+/Mn2j4oe/owliyA8YOvSxsUyYLPn0J9B4843lLEJBve2scRBR1dkcCmJiLBUSZ6HlfIwAYEXQj74JDa0BGZLo0YtxZLMsmJoOubUJ+vBY6jZVg3b64szHBZrh72iCv3uV2yUEwOAgoirUofgwEJ878kgRgS4lANEU0Deu4UxEwz8nR7DhhmBVBIcxGcfESwcAAHJHF+SWIMzJSWjnB2Y2VyU0aH3DCFyyrCLlZHAQUdXZ1Dw9MbDZJ6HD70NCs3B2PIHjE4kZjx2P65hMGFBkb88+MBNJRN44BMEvw9J06ANj0KeuwyHWt8K3rAkwNGhn+mFpSSiXroSYZziu07z9SRIR5dAW9OHaljp0wofRUQOHB1ScHE1AT0/bsIDucADdSgAjIwZ+0jOCeDL/6CtPEIDRf/kvQG6AsmEN5CVNmbvMSRWJIxeQOD4Cywwh0N2N8LVXVKyoDA4iqkpLFT/6IzObq+pkARsbFLRaMk5cSODEUAKWBRzoi0Hw6gXHAZhJA/G3z8JUk7BiSaiHL0If1OFftQqBNV1AdjObbiBx4iJCmy+tWHkZHERUlbatmB6K2hXyYV0oAG0CONSnYjiWWudJkYGNTQriYyYe/eUA1OTcmeReYCWSGNjzCuT2dgTWpGd2C9BODSPROw6poR3Kxm6IDamLUgVWd8K/rDIXmwLYx0FEVaqrwY8bOsPoHUjg3MWZNQ9JAC5tUnD+ooZDo6mLPvWcieL0xQS6OwLweai/w0zoGHm6B2ZUgxnVoA8A/hXLACEJ7UxqIqAxFoMxFgNEGYFLu9G4fXNFy+ydT4+IyKatHXXom5gZGuuaFDSZMg6fUTGppmoYq5r9CBsyvvfTfmi6d6anmUkD0bf6MP78SQTWdkGsVwAA2tkJaGfiCKxZAd/SpqwnWEien0D42ssqU+ApDA4iqlrXrQyjPZxqOOluDKBT8uHoWRXDkVRTlV8CNrQoOH1Ww/Ckjsm4ib2vjiKhVb7JytRNGJMaxn5xFACQOD6e6vi+dHoRwkTvKJIXdCjrL4HUklo9uPGmrRAVf0XKnMaZ40RU1V7rncCzb47hzNDMiYCXNPkRnTAxPJHu7xCwrM6PE+cSuOGKenz2liXw+ypz7mwZJsyYjrNf+1/QR1Uo6+qgHp5eyVa5tBHahSGYk1nXVpcEBDe1Y+l/uxlSeO51SsqkoBEErHEQUVX7ne76Gae4fgnY0Krg7DktExptYRkNkHDiXGqOx8CAhv/5r4MVqXmYugljIon+Pz8AywRgAurhKJQNncDUKr7qsXHACiFwadaFmAwLoU0rnQyNgjE4iKiqiYKA//OGJRAArGzyo96Scfi0msmSVa1+xEZNXBxNhci6zgCO9yaw7zeT+NEzQ1ATJnTdnQAxVQP6kIZzf/IW1KMRCGIIUnOqX0M9PAl/VxvEcKoZyowkkTgWQ+DSLojhAHzLGtH0kcp2iqexqYqIasK/vD6Mn742OuOgtaFdwdGTKtLXc0qHhmkCjXUiEBMgScCXPt+J5Z1+KIoz59KWacHSLYw83YexZy5AuTQA9cgwAEBu9cEyYzCmRn9JLX6IgSSS/ZOZ54sNfiz78jYo6zpybr+M2FRFRIvHrqubsbQ5tQSHJALrWxUc7s0dGrKcugjU+ISBsXEDf/s3A/j7vx9EImEikShv7cNUTWh9Gs798Smoh+OppqkjCSgbmwEA+nByRs3DGNGQHBYQWDs9T6PhA2vcCI2CscZBRDXj9MUE/vwnfQiaEs4OTHeWZ4cGAKxbquDosdQZ/sbVCg69nfr56suD6F4TwI5dzZAkAUqwuHNrU7cA04J6KoHB58YgTmpIHI4DMiC3JKFfTACChcBqEYkTqZrF7JoHYEHZWA9YBpb/yYcgSK6c5xdU42BwEFFN+c+Dk/jrfx7ILCY7OzQ2rlBw6N3UwXlpm4yhczp0Hehe6cfF06mw2bQugLo6CTv/oAVLu/ywrNTitL6AADHHKrtG0oJlWBAlAXrcxMivI+h/cQzhoIjEiQR8rSKk8SSgW/B1SUieHwcsQAiKkOo16BdT5ZkdHnJbEF3f3ga5SXH4U8vg9TiIaPG57vJ6DI3p+NHPh+eERndnAIcPpQ7KogiImgA91WcOaWpiYH29iHO9CRgGANXEucMq1lyuoCksY9naADpXBiCIAoJhEYkJA7IsYOB/R5EY1TH5VgzJiIm2Th/U/iQC3QEAQHLYRGhjEIlDMSTPGVA2NkI9NA4rbgJhBWIoCTNmQB9OQm4NQWoGrKSBZV97n5uhUTDWOIioJj3/6ih+tHc4ExpLmmREhkzE46kbLlut4N2pJqoNawM4dzw1VPfyjQpOTYVLV5uM8SEda9YrGDiiQhSBOguABVyyNoCR4wl0rgtg8mgCggA0+ASYmoX2yxTEpmo1zS0S9BEDUr0IfzIJS7VmNlkBCKz2I3F6BJgqq39FEO33rIfS3eTOhzWNneNEtHh95IZmfPz3WgEAoYAAxJAJjc4lMo5MHdhFAVAnjMzPIxdSS5i0LUmFBpBa+woA6hqkOafTyUTqBssCgh2pzvnY+PQS7uLUbcakCd/qqTkYOiD4lcwROHFSg7I+VVap0YeOey+rRGgUjMFBRDXr1u3NuPfODixvDGBwOBUCogggIaSaogBctk7B0MXUfd3dAUyMpu5Y0jbdkp+IpG4L1s09ZCbi06OwpKn7I+eT8DVJAIDxsxoEXyp5Iic1iPWp25PnDCjrGzPPVQ8lUPe+dnR960oEVk2v/OtFDA4iqmk3XF2Puz7RhrbWVBCsv0RBf1+qVuH3TdcwAEDKutaTFk0FgigCYwNTa1/lmOeRrq0AgJE9g31pqqahR0wEVqf6OkwVkLsC0889ZkDuSP1e975mdNy9Hr72ys8MXwiDg4hq3prVCr77zRW4+cYGHD00vf7TxrUKJsanaxh9p1N9DnV1AgbPpkZYtXbIMJKpRPD55nYBJFULkj91e2xcz9yuadMpEo9N10omjyYgtUzVZnRAqgthyR+tROcX10AMSuV4u45jcBDRolAXkvDpT7bjS1/qRHu7jLqQgL7T03M9OpbImSG8y5YHMj83NEw3WeWbSuFvSB3wJy/qEKfCZfxMAmJgqonqnAZ/Z6oGYhkCxLbUsiJ114Sx9P5L0PihJWV7n27gcFwiWlSuvLIOmzeH8Oq+CTz7z6llP/w+YCArRCRzurYgZVcy8kwq94VExAFYJhBc5kP0nAZTB4Kr/IhOjdayGiSgP9UsljSBZX+yAqFNdWV9b25hcBDRouPzCfjQTY24/oZ6vPLyBE4ciuPQb6MAUsuRDJ6bDpFEdDotDC33DIV0zQIApPB0tcTISp2xUyqWXh1C681NCG8Jle29VAKDg4gWrYAi4qbfa4K1sxHHDsbx21cnMTGYRN+h6aG64wPTnee6mrvKIcjTAZHdQT7Rp6Gxy4fW6+qx5IZ6KO0+Z96IyxgcRLToCYKAdZtDWLc5BMOwcO6YihPvxDHSp6H/YBy6lupAz659ZEtnhSAClk9A57Z6NG1Q0LI5hFBHbYRFNs4cJyJagBoxMDaYhDqqIxExoWsWfLIAwbQgKyJCTTJCTRLq2n0Q5YImX3sVFzkkIiJbuOQIERGVH4ODiIhsYXAQEZEtDA4iWvT+9m//Flu2bEFDQwMaGhpw3XXX4fnnny9qW3fffTe+8IUv4OGHH8Y111yDhoYGLFmyBLt27cLBgwfLXPLKYHAQ0aLX1dWF7373u3jrrbfwX//1X/jQhz6E3bt348CBA7a2Y1kWnn32WezevRv79u3D5z//ebz++ut4+eWXIcsyPvzhD2NkZMShd+EejqoiIsqhpaUFDz/8MD73uc9h06ZNePfdd3M+7pvf/CYeeughAMAbb7yBnTt3YmBgALI8c5pcJBJBY2Mj9u7di127djld/GJxVBURkV2GYeDJJ59EJBLB7/zO7wAAnn76aQDACy+8gP7+fvT19SEUCuGxxx7DAw88kHnu3r178ZGPfGROaADA5OQkTNNEc3OzO2/EQQwOIiIAb7/9NsLhMAKBAO6++248/fTT2Lx5MwBgYGAAgiDghhtuwNKlSxGNRhGLxbBt2zYEg9PXz3jmmWewe/funNu/7777cMUVV+C6665z4+04ikuOEBEBWL9+PXp6ejA+Po6f/OQn+NSnPoV9+/bh8ssvx/79+9Hd3Y1wOAwA6OnpQSgUwtq1azPPP378OE6cOIEdO3bM2fb999+P1157Da+99hokqTquuTEfBgcREQC/358Jgquuugq//e1v8Zd/+Zd47LHHcODAAWzZsiXz2J6eHlx++eUQxelGm71792L79u2oq5u5VPoXv/hFPPnkk/jVr36F7u5ud96Mw9hURUSUg2maSCRS19I4cOAAtm7dmrmvp6dnxu9A7maq++67Dz/+8Y/x8ssvY8OGDY6X2S0MDiJa9L72ta/h1VdfxalTp/D222/j61//Ovbt24c777wTpmni4MGDM2ocvb29WLlyZeb3wcFB/PrXv54xWuree+/F448/jieeeALNzc24cOECLly4gEgk4up7cwKDg4gWvQsXLuAP//APsX79emzfvh2//e1v8eKLL2Lnzp3o7e1FNBqdERybN2/GI488ghdffBEA8Nxzz+Gaa65BR0dH5jF79uzB5OQktm/fjs7Ozsy/733ve66/v3LjPA4iohLdeuutuP766/HVr3610kUpFedxEBG54frrr8ftt99e6WK4hjUOIiJKY42DiIjKj8FBRES2MDiIiMgWBgcREdnC4CAiIlsWWquqoB52IiJaPFjjICIiWxgcRERkC4ODiIhsYXAQEZEtDA4iIrKFwUFERLb8/8CiIK8wPjdHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 221,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 222,
   "metadata": {},
   "outputs": [],
   "source": [
    "#U2-gate\n",
    "from math import pi\n",
    "#Create a single qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "#Add a U2 gate and rotate all parameters by pi/2, and apply it to the qubit\n",
    "qc.u2(pi/2, pi/2, 0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 223,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 223,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_decomposed = qc.decompose()\n",
    "qc_decomposed.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 224,
   "metadata": {},
   "outputs": [],
   "source": [
    "#U1-gate\n",
    "from math import pi\n",
    "#Create a two qubit circuit\n",
    "qc = QuantumCircuit(1)\n",
    "qc.h(0)\n",
    "#Add an U1 gate and rotate by pi/2\n",
    "qc.u1(pi/2, 0)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 225,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 247.906x84.28 with 1 Axes>"
      ]
     },
     "execution_count": 225,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 226,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 226,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Will execute the circuit on the qasm simulator\n",
    "# Returns results, circuit diagram, and histogram \n",
    "def execute_circuit(quantum_circuit):\n",
    "    #Create a qasm simulator\n",
    "    simulator = Aer.get_backend('qasm_simulator')\n",
    "    #Execute the circuit on the simulator\n",
    "    result = execute(quantum_circuit, simulator, shots=1024).result()\n",
    "    #Get the result counts \n",
    "    results = result.get_counts(quantum_circuit)\n",
    "    #Draw the circuit diagram\n",
    "    circuit_diagram = quantum_circuit.draw()\n",
    "    #Create a histogram of the results\n",
    "    histogram = plot_histogram(results)\n",
    "    #Return the results, circuit diagram, and histogram\n",
    "    return results, circuit_diagram, histogram\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "metadata": {},
   "outputs": [],
   "source": [
    "#CNOT-gate \n",
    "#Create a two qubit circuit\n",
    "qc = QuantumCircuit(2)\n",
    "#Add an H gate to the qubit\n",
    "qc.h(0)\n",
    "#Add an CNOT gate where, control = first, target = second qubit\n",
    "qc.cx(0,1)\n",
    "#Measure all qubits and send results to classical bits \n",
    "qc.measure_all()\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, histogram = execute_circuit(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 234,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'00': 525, '11': 499}"
      ]
     },
     "execution_count": 234,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 235,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 472.059x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 235,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 236,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Toffoli (CCX)-gate\n",
    "from math import pi\n",
    "#Create a three qubit circuit\n",
    "qc = QuantumCircuit(3)\n",
    "#Add the Toffoli gate (CCX)\n",
    "qc.ccx(0,1,2)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j])"
      ]
     },
     "execution_count": 238,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 239,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 200.977x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 239,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 802.977x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 240,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc_decomposed = qc.decompose()\n",
    "qc_decomposed.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 242,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Swap-gate\n",
    "from math import pi\n",
    "#Create a two qubit circuit\n",
    "qc = QuantumCircuit(2)\n",
    "#Qubit 0 is initialized to |0> state\n",
    "#Prepare qubit 1 to the |1> state\n",
    "qc.x(1)\n",
    "#Now swap gates\n",
    "qc.swap(0,1)\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, qsphere = execute_circuit_sv(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 243,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j])"
      ]
     },
     "execution_count": 243,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 244,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 261.032x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 244,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 245,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 245,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 246,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Measurement operator \n",
    "#Create two separate two-qubit, and two-classical bit circuits\n",
    "qc1 = QuantumCircuit(2,2)\n",
    "qc2 = QuantumCircuit(2,2)\n",
    "#In the first circuit (qc1), measure qubits individually \n",
    "qc1.measure(0,0)\n",
    "qc1.measure(1,1)\n",
    "#In the second circuit (qc2) measure using a list\n",
    "qc2.measure([0,1],[0,1])\n",
    "#Execute the circuit and capture all the results\n",
    "result, img, histogram = execute_circuit(qc1)\n",
    "result2, img2, histogram2 = execute_circuit(qc2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 247,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 261.032x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 247,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 248,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 261.032x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 248,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 249,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td>Qiskit</td><td>0.20.1</td></tr><tr><td>Terra</td><td>0.15.2</td></tr><tr><td>Aer</td><td>0.6.1</td></tr><tr><td>Ignis</td><td>0.4.0</td></tr><tr><td>Aqua</td><td>0.7.5</td></tr><tr><td>IBM Q Provider</td><td>0.8.0</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.7.8 | packaged by conda-forge | (default, Jul 31 2020, 02:25:08) \n",
       "[GCC 7.5.0]</td></tr><tr><td>OS</td><td>Linux</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>31.40900421142578</td></tr><tr><td colspan='2'>Fri Sep 11 00:55:26 2020 UTC</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
